Correctness of the definition of the Laplace operator with delta-like potentials
Functional Analysis
2020-11-25 v1
Abstract
In this paper, we give a correct definition of the Laplace operator with delta-like potentials. Correctly solvable pointwise perturbation is investigated and formulas of resolvent are described. We study some properties of the resolvent. In particular, we obtain Krein formula for these resolvents.
Cite
@article{arxiv.1908.10277,
title = {Correctness of the definition of the Laplace operator with delta-like potentials},
author = {B. E. Kanguzhin and K. S. Tulenov},
journal= {arXiv preprint arXiv:1908.10277},
year = {2020}
}
Comments
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